Finding the Third Proportional to 25,533 and 55,426

Step by Step Solution

1. Step 1: Write the proportion equation
   25,533 : 55,426 = 55,426 : x
2. Step 2: Convert to fraction form
   25,533/55,426 = 55,426/x
3. Step 3: Cross multiply
   25,533x = 55,426 × 55,426
4. Step 4: Simplify right side
   25,533x = 3,072,041,476
5. Step 5: Solve for x
   x = 3,072,041,476/25,533
6. Step 6: Final answer
   x = 120,316.51